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Finding the Fourth Proportional to 247.95, 342.24 and 165.12

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Solution

The fourth proportional to 247.95, 342.24 and 165.12 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.95 : 342.24 = 165.12 : x
  2. Step 2: Convert to fraction form
    247.95/342.24 = 165.12/x
  3. Step 3: Cross multiply
    247.95x = 342.24 × 165.12
  4. Step 4: Simplify right side
    247.95x = 56,510.67
  5. Step 5: Solve for x
    x = 56,510.67/247.95
  6. Step 6: Final answer
    x = 227.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.